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Paper Citation Record · LEDGER

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.00383.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.00383 v3

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T16:04:47.856812Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

  • verified exact1
  • verified fuzzy9
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e47c00f1-0f9b-4afd-9213-a7af7fd10072 · outbound

This paper cites Bae and Q.

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals Bae and Q

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:04:48.065847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:04:47.784044Z digest=sha256:634ecc68ff02ca9307e325adc4a7de7023994c56a91ede3f10af7d7301dae340

Observation 6c536a94-3ad8-4ff6-a5b7-ae9802577879 · outbound

This paper cites an unresolved cited work.

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T16:04:48.054091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:04:47.789616Z digest=sha256:739273d4656d4dacfea35bc7a3a54e865b45241a8986eebb5f9fc907c8e3b9c2

Observation 94663436-bda3-4883-b43a-27c79dfa16ae · outbound

This paper cites Chattopadhyay and S.

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals Chattopadhyay and S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:04:48.042068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:04:47.793938Z digest=sha256:5125cd2b8fa441bd15abb50e4e56a839dc017939273b005776a05e4d01b1d7c1

Observation 2c2908e6-ce34-4afd-9fe9-18a5bbc2a279 · outbound

This paper cites Dwilewicz, J.

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals Dwilewicz, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:04:48.030216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:04:47.798629Z digest=sha256:dba5f90e02f4377ef63571b9cf01fe84763aa5d1b9ca7b0b7e671b6738968ad4

Observation 2811bdf4-86f4-4bd1-874e-6cd536d715e3 · outbound

This paper cites A new family of biquadratic fields having a non-principal euclidean ideal class.

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals A new family of biquadratic fields having a non-principal euclidean ideal class

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T16:04:47.901588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:04:47.803528Z digest=sha256:f8a30c85d9f874e2da4dd118a7982132dd53c9da53a7c5366fe0d95cfa54d9b0

Observation 866f3959-b522-4215-94da-15b1f25a1fcf · outbound

This paper cites an unresolved cited work.

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T16:04:48.018534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:04:47.808571Z digest=sha256:3a2a6102d28c6af27730365f5a0e5e43c5e4a146c646d1aa7a99c73d5e886aaf

Observation 95f57dfa-799d-48f6-b02f-e0b8bc312da0 · outbound

This paper cites an unresolved cited work.

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T16:04:48.007230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:04:47.817700Z digest=sha256:865bad0f00b137593eda4d5a07453e63d71d4f88df58e49710232539a06a9b48

Observation fb65f526-5bea-4bb7-8a60-63702e60def7 · outbound

This paper cites Kleinjung et al., Factorization of a 768-bit RSA modul us, in Annual Cryptology Conference (Springer, 2010), pp.

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals Kleinjung et al., Factorization of a 768-bit RSA modul us, in Annual Cryptology Conference (Springer, 2010), pp

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:04:47.996047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:04:47.824027Z digest=sha256:23fb7cec0c485f00dcb94720f7fa24b6a7db7e4245080b3527c655c8f97e26b4

Observation e705cf35-c270-40ec-80a4-e0dfa21958bf · outbound

This paper cites Kleinjung, On polynomial selection for the general nu mber field sieve, Math.

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals Kleinjung, On polynomial selection for the general nu mber field sieve, Math

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:04:47.983980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:04:47.835640Z digest=sha256:fcd590154be7fd6826bdc944d02da716677c1816ce45fcaffa7e8aa2040f3f9a

Observation daacab41-0cc1-4566-ad31-7889c562ff31 · outbound

This paper cites and Toru N., Monogenity of Biqu adratic Fields Related to Dedekind-Hasses Problem, Punjab Univ.

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals and Toru N., Monogenity of Biqu adratic Fields Related to Dedekind-Hasses Problem, Punjab Univ

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:04:47.970366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:04:47.840406Z digest=sha256:1adfce9b4c4c6c7167a446253b136d9b085d28bea890607dd057a23b209d0370

Observation bb66dba1-e424-45d3-acd7-68e0663f5edb · outbound

This paper cites Murphy, Modelling the yield of number field sieve poly nomials, in International Algorith- mic Number Theory Symposium (Springer, 1998), pp.

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals Murphy, Modelling the yield of number field sieve poly nomials, in International Algorith- mic Number Theory Symposium (Springer, 1998), pp

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:04:47.955581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:04:47.844596Z digest=sha256:b4406acabb82690e5ff966b4608e8be204efc676d2b4238b9118bf25078f7a1b

Observation b2c966fc-8126-4767-9f6a-2d191b7ae5fd · outbound

This paper cites Ouyang and Z.

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals Ouyang and Z

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:04:47.942076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:04:47.848682Z digest=sha256:4ea96d6cba1e6ad0f33d439b004e458507379ab1acf937a6600b6a789e932ba2

Observation 5c6e654e-5901-417f-8917-fdd9c21133fe · outbound

This paper cites an unresolved cited work.

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T16:04:47.929728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:04:47.852575Z digest=sha256:ce510e9f3c9f55768d485dda3afbb6050430a584517fbffbb3ad9019f23e40f3

Observation 7e712a7b-3052-443b-9441-a97b7f69b255 · outbound

This paper cites Yue, Genus fields of real biquadratic fields, Ramanujan J.

First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals Yue, Genus fields of real biquadratic fields, Ramanujan J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:04:47.916311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:04:47.856812Z digest=sha256:3cd2ee12b1fd2262282d5a626d41a80fb5fea2210fffc51112a7ed75252a87b9

Pith citing papers

No inbound Pith citation observations are available.